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663_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 663_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 11:03 AM Page 657 SECTION 8.3 Cylindrical Pressure Vessels Problem 8.3-3 An inflatable structure used by a traveling 657 Longitudinal seam circus has the shape of a half-circular cylinder with closed ends (see figure). The fabric and plastic structure is inflated by a small blower and has a radius of 40 ft when fully inflated. A longitudinal seam runs the entire length of the “ridge” of the structure. If the longitudinal seam along the ridge tears open when it is subjected to a tensile load of 540 pounds per inch of seam, what is the factor of safety n against tearing when the internal pressure is 0.5 psi and the structure is fully inflated? Solution 8.3-3 Inflatable structure Half-circular cylinder r 40 ft 480 in. Internal pressure p 0.5 psi T tensile force per unit length of longitudinal seam Seam tears when T Tmax 540 lb/in. Find factor of safety against tearing. CIRCUMFERENTIAL STRESS (EQ. 8-5) s1 pr where t t thickness of fabric Actual value of T due to internal pressure T s1t pr (0.5 psi)(480 in.) s1t 240 lb/in. FACTOR OF SAFETY n Tmax T 540 lb/in. 240 lb/in. 2.25 ; Problem 8.3-4 A thin-walled cylindrical pressure vessel of radius r is subjected simultaneously to internal gas pressure p and a compressive force F acting at the ends (see figure). What should be the magnitude of the force F in order to produce pure shear in the wall of the cylinder? F F Solution 8.3-4 Cylindrical pressure vessel STRESSES (SEE EQ. 8-5 AND 8-6): s1 r Radius p Internal pressure pr t s2 pr 2t F A pr 2t F 2prt ...
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